Geodesic
Schatten class of Berezin transform on Fock spaces
Filomat, Tome 36 (2022) no. 9, p. 3189

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DOI

The Schatten norm for the nuclear operator B * α B α was estimated from both sides. Here B α : L 2 β → L 2 γ is the Berezin transform regarding the Fock spaces in the plane. Also, we found the norm for the Berezin transform in case of unweighted Lebesgue spaces.
DOI : 10.2298/FIL2209189V
Classification : 47B34, 30D20, 46E22
Keywords: Fock space, Berezin transform, Schatten norm 
Djordjije Vujadinović. Schatten class of Berezin transform on Fock spaces. Filomat, Tome 36 (2022) no. 9, p. 3189 . doi: 10.2298/FIL2209189V
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     author = {Djordjije Vujadinovi\'c},
     title = {Schatten class of {Berezin} transform on {Fock} spaces},
     journal = {Filomat},
     pages = {3189 },
     year = {2022},
     volume = {36},
     number = {9},
     doi = {10.2298/FIL2209189V},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2209189V/}
}
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